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    Question

    A hostel levies a fixed charge along with an additional

    charge per student. The total charge for 9 students is Rs. 2400, and for 16 students, it is Rs. 3800. Determine the ratio of the fixed charge to the additional charge per student.
    A 5:4 Correct Answer Incorrect Answer
    B 2:1 Correct Answer Incorrect Answer
    C 3:1 Correct Answer Incorrect Answer
    D 1:1 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the fixed charge and additional charge per student be Rs. 'x' and Rs. 'y' respectively. ATQ, Total charge for 9 students = Rs. (x + 9y) Or, (x + 9y) = 2400......(I) Total charge for 16 students = Rs. (x + 16y) Or, (x + 16y) = 3800......(II) On subtracting Equation (I) from (II) , we get, So, 7y = 1400 So, 'y' = 200 Also 'x' = 2400 - 9 X 200 = 600 Therefore, required ratio = 600:200 = 3:1 

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